Question

Please help? I have to questions that are REALLY confusing -- will fan and medal? no one is even alive in the geometry section :c

Answer 1

go ahead

Answer 2

thank you!

Answer 3

If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A' lie?
[Hint: Place your coordinates in the blank with no parentheses and a space after the comma in the form: x, y]

Answer 4

I think the point is -2, but I'm not sure.

Answer 5

what do you think?

Answer 6

sorry I got disconnected

Answer 7

Here is our figure

Answer 8

no problem! yes, that is the figure :)

Answer 9

A (1,1)
B (5,1)
C (2,2)
D (4,2)

when we reflect over the y axis we change the sign of the x coordinates. STEP #1

(-1,1)
(-5,1)
(-2,2)
(-4,2)

Answer 10

okay, I'm with you. then it reflects over the x axis
but also rotates

Answer 11

Then the next step is a reflection over the x axis this means that we change the sign of all the y coordinates so our points become

(-1,-1)
(-5,-1)
(-2,-2)
(-4,-2)

Answer 12

when it reflects that means it will be upside doown right?

Answer 13

well let's plot them, so we can see what's going on

Answer 14

so, -2 still?
or -1?

Answer 15

all the coordinates are negative

Answer 16

because we are in quadrant 3

Answer 17

okay, so negative points

Answer 18

am I correct?

Answer 19

yep check this out

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).

Answer 20

so -2?

Answer 21

what about it?

Answer 22

?

Answer 23

so if you want to reflect the points through the origin you change the sign of both x and y for the points below:

(-1,-1)
(-5,-1)
(-2,-2)
(-4,-2)

rotation in 180 degrees

(1,1)
(5,1)
(2,2)
(4,2)